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Finding the Fourth Proportional to 1,346.51, 1,858.22 and 786.89

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Solution

The fourth proportional to 1,346.51, 1,858.22 and 786.89 is: 1,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.51 : 1,858.22 = 786.89 : x
  2. Step 2: Convert to fraction form
    1,346.51/1,858.22 = 786.89/x
  3. Step 3: Cross multiply
    1,346.51x = 1,858.22 × 786.89
  4. Step 4: Simplify right side
    1,346.51x = 1,462,207.41
  5. Step 5: Solve for x
    x = 1,462,207.41/1,346.51
  6. Step 6: Final answer
    x = 1,085.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.